David,
Sounds like you have a good handle on things. The large water change is of no real significance with regards to your cycling process. The bacteria "so to speak" is not in your water column, it is found on stationary objects (LR, sand, biowheel, sponge, etc.). With such a small volume of water in your QT, I can't stress enough the importance of matching pH, salinity, and temp., you want to be "spot on" with each of those. If not matched, make small adjustments as needed to get them matched.
Hope all goes well.
SV